MRA super-wavelets

zbMath1079.42022arXivmath/0410403MaRDI QIDQ2581064

Gabriel Picioroaga, Stefan Bildea, Dorin Ervin Dutkay

Publication date: 10 January 2006

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410403

zbMATH Keywords

representationwaveletmultiresolutionscaling functiontransfer operatorlow-pass filtercascade algorithmsuper-wavelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (28)

Vector-valued Gabor frames associated with periodic subsets of the real line ⋮ Generalized Gramians: Creating frame vectors in maximal subspaces ⋮ Orthogonal wavelet frames and vector-valued wavelet transforms ⋮ Wavelets on fractals ⋮ A class of vector-valued subspace weak Gabor duals of type II ⋮ On Parseval super-frame wavelets ⋮ Frame representations and Parseval duals with applications to Gabor frames ⋮ Super Gabor frames on discrete periodic sets ⋮ On \(s\)-elementary super frame wavelets and their path-connectedness ⋮ Rational time-frequency super Gabor frames and their duals ⋮ A duality principle for groups. II: Multi-frames meet super-frames ⋮ Orthonormal dilations of parseval wavelets ⋮ Vector-stability of multiple vector refinable vectors ⋮ Characterizations of disjointness of \(g\)-frames and constructions of \(g\)-frames in Hilbert spaces ⋮ Subspace dual super wavelet and Gabor frames ⋮ Weak affine super bi-frames for reducing subspaces of \(L^{2}(\mathbb R,\mathbb C^{L})\) ⋮ Superframes and polyanalytic wavelets ⋮ Classification of generalized multiresolution analyses ⋮ Wavelet constructions in non-linear dynamics ⋮ Wavelet Representations and Their Commutant ⋮ Reducibility of the wavelet representation associated to the Cantor set ⋮ Vector-valued weak Gabor dual frames on discrete periodic sets ⋮ Wavelet frames for (not necessarily reducing) affine subspaces ⋮ On the orthogonality of frames and the density and connectivity of wavelet frames ⋮ Dynamics, Wavelets, Commutants and Transfer Operators Satisfying Crossed Product Type Commutation Relations ⋮ A characterization of nonhomogeneous dual and weak dual wavelet superframes for Walsh‐reducing subspace of L2(ℝ+,ℂL)$$ {L}^2\left({\mathbb{R}}_{+},{\mathbb{C}}^L\right) $$ ⋮ Iterated function systems, Ruelle operators, and invariant projective measures ⋮ Low-pass filters and representations of the Baumslag Solitar group

This page was built for publication: MRA super-wavelets